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Finding the Fourth Proportional to 725.86, 1,086.92 and 400.86

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Solution

The fourth proportional to 725.86, 1,086.92 and 400.86 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.86 : 1,086.92 = 400.86 : x
  2. Step 2: Convert to fraction form
    725.86/1,086.92 = 400.86/x
  3. Step 3: Cross multiply
    725.86x = 1,086.92 × 400.86
  4. Step 4: Simplify right side
    725.86x = 435,702.75
  5. Step 5: Solve for x
    x = 435,702.75/725.86
  6. Step 6: Final answer
    x = 600.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.